Download App

STD 12 - 1. relation and function — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 1. relation and function4 Marks
Question
Set $A$ has $3$ elements and set $B$ has $4$ elements. The number of injection that can be defined from $A$ to $B$ is
✓

Answer

c
(c) The total number of injective functions from a set $A$ containing $3$ elements to a set $B$ containing $4$ elements is equal to the total number of arrangements of $4$ by taking $3$ at a time $i.e.,$  $^4{P_3} = 24$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If $3\cos \theta  + 4\sin \theta  = 5$ then $3\sin \theta  - 4\cos \theta $ is
→
$\int_{ - 3}^3 {\frac{{{x^2}\sin x}}{{1 + {x^6}}}\,dx = } $
→
Let the vectors $\vec{a}, \vec{b}, \vec{c}$ represent three coterminous edges of a parallelopiped of volume V. Then the volume of the parallelopiped, whose coterminous edges are represented by $\vec{a}, \vec{b}+\vec{c}$ and $\vec{a}+2 \vec{b}+3 \vec{c}$ is equal to $..........\,V$
→
If $y={{\cos }^{-1}}\cos (|x|-f(x)),$ where $f(x)\left\{ \begin{gathered}    = 1\,,\,{\text{if}}\,\,\,x > 0 \hfill \\    =  - 1\,,\,{\text{if}}\,\,\,x < 0 \hfill \\    = 0\,,\,{\text{if}}\,\,\,x = 0 \hfill \\  \end{gathered}  \right.$ then ${\left. {\frac{{dy}}{{dx}}} \right|_{x = \frac{{5\pi }}{4}}}$ is
→
The variance of first $50$ even natural numbers is
→
If the system of linear equations

$2 x+y-z=3$

$x-y-z=\alpha$

$3 x+3 y+\beta z=3$

has infinitely many solution, then $\alpha+\beta-\alpha \beta$ is equal to .... .

→
Let $f: \rightarrow R \rightarrow(0, \infty)$ be strictly increasing function such that $\lim _{x \rightarrow \infty} \frac{f(7 x)}{f(x)}=1$. Then, the value of $\lim _{x \rightarrow \infty}\left[\frac{f(5 x)}{f(x)}-1\right]$ is equal to
→
Let $L_1: \frac{x-1}{3}=\frac{y-1}{-1}=\frac{z+1}{0}$ and
$L_2: \frac{x-2}{2}-\frac{y}{0}-\frac{z+4}{\alpha}, \alpha \in R$, be two lines, which intersect at the point $B$. If $P$ is the foot of perpendicular from the point $A (1,1,-1)$ on $L _2$, then the value of $26 \alpha(PB)^2$ is  ._________
→
The number of solutions of the equations $x + 4y - z = 0,$ $3x - 4y - z = 0,\,x - 3y + z = 0$ is
→
If the range of $f(\theta)=\frac{\sin ^4 \theta+3 \cos ^2 \theta}{\sin ^4 \theta+\cos ^2 \theta}, \theta \in R$ is $(\alpha, \beta)$, then the sum of the infinite $G.P.,$ whose first term is $64$ and the common ratio is $\frac{\alpha}{\beta}$, is equal to $.........$
→